Solve (5-2)² - 2³: Order of Operations with Squares and Cubes

Calculate and indicate the answer:

(5−2)2−23 (5-2)^2-2^3

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following problem
00:03 Always solve the parentheses first
00:10 An exponent is actually the number multiplied by itself as many times as the power
00:12 Break down each exponent into multiplications and solve
00:21 Substitute the solutions into our question and calculate
00:27 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate and indicate the answer:

(5−2)2−23 (5-2)^2-2^3

2

Step-by-step solution

Remember that according to the order of arithmetic operations, exponents precede multiplication and division, which precede addition and subtraction (and parentheses always precede everything).

So first calculate the values of the terms with exponents and then subtract the results:

(5−2)2−23=32−23=9−8=1 (5-2)^2-2^3 =3^2-2^3=9-8=1 Therefore, the correct answer is option C.

3

Final Answer

1

Practice Quiz

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\( 9 \times (2 \times 1) = \)

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